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Residual Sets and the Density of Binary Goldbach Representations
Journal of Mathematics Letters
| Vol 3, Issue 1
Table 3. Goldbach Partition Bounds Comparison
| Cumulative Hardy-Littlewood Bound | Cumulative Chen Bound | Pointwise Bound | Cumulative Constructive Bound | |
| 1,000 | 8,257.21 | 4,190.14 | 439.19 | 439.19 |
| 6,000 | 179,274.41 | 90,973.29 | 6,285.25 | 6,724.44 |
| 11,000 | 521,294.71 | 264,532.43 | 16,136.09 | 22,860.53 |
| 16,000 | 1,013,580.70 | 514,344.30 | 29,152.57 | 52,013.10 |
| 21,000 | 1,645,862.38 | 835,197.37 | 44,951.96 | 96,965.06 |
| 26,000 | 2,411,425.41 | 1,223,684.43 | 63,295.32 | 160,260.38 |
| 31,000 | 3,305,354.09 | 1,677,310.99 | 84,013.39 | 244,273.77 |
| 36,000 | 4,323,809.94 | 2,194,129.20 | 106,977.40 | 351,251.17 |
| 40,000 | 5,226,115.32 | 2,652,006.53 | 126,896.06 | 478,147.23 |